Let C be the curve f(x) = the length of C, as follows: (1) Calculate f'(x). In(x) 2 - 4 between 1 and x = e. Calculate

Q: 15. If g(x)=√t² - 5t dt, find g"(x).

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Q: Use the triangle to express 8 as a function of y. 10 08 = sin() 0 8 = sin n-¹(10) 0 0 = cos 1¹ (1)…

A: We can find the correct option in the below steps.

Q: Find the derivative of the function g(x) = g'(x)= = e² 4 - 2x

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: Please see the below picture for detailed solution.

Q: The differential equation below models the temperature of a 87°C cup of coffee in a 23°C room, where…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find all points (x,y) on the graph of f(x) = 3x² - 4x with tangent lines parallel to the line y =…

A: Please see the below picture for detailed solution.

Q: -t g(x) = f* e²²-¹ dt Sx

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Q: a building so that its foot moves away from the building at the note of 3 feet per second. When the…

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Q: Evaluate each of the following expressions using the given table of values. 3 4 5 7 6 5 3 4 7 6 5 5…

A: we need to find out the values of the composite functions.

Q: (-26)³ 6 If so, write it in the form f(x) = kx². Is the function g(x) The function is g(x) = kx² ||…

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Q: 18. A company makes $1000 on the first 100 widgets sold. The rate of change for profit is given by…

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Q: Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula…

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Q: 4. Find the average value of g(x) 8 4+x² on the interval -2≤ ≤2

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Q: Find the length of the curve x = t³, 312 y = ²2² ²²₁ 0 ≤ t ≤ √3 t²,

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Q: Find the volume of an obround tank that is 14 in. wide, 15 ft. between centres and 38 in. high.…

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Q: 4. Trace the curve: y² = x²−4x−12 x²-2x-3

A: for x intercept put y=0for y intercept put x=0y2=x2-4x-12x2-2x-3

Q: Differentiate the function. f'(x) = f(x) = x7³ − x + 8

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Q: For a given commodity and pure competition, the number of units produced and the price per unit are…

A: Let's find consumer surplus and producer surplus.

Q: 3 7. Given that sec x = =, 270 < x < 360° find 2 (a) sin(2x) Answer: - 4√5 9

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Q: The volume of a sphere is increasing at a constant rate of 1827 cubic centimeters per second. At the…

A: To find the rate of change of surface area of sphere.

Q: The measurements of the base and altitude of a triangle are found to be 46 and 34 centimeters. The…

A: Given information altitude ( A ) = 34 cm Base ( B ) = 46 cm let Area = A

Q: Suppose a real number t determines the terminal point (a, b) on the unit circle as shown. (a,b) ▶ D…

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Q: Determine the exact value of the following expression. tan 137) 8

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Q: Find dy/dx. x=tsin(t), y = t² + 5t

A: SOLUTION-

Q: If f(2)= 5 and f'(x) ≥ 3 for 2 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ≥ Need Help? Read It…

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Q: Consider each function to be in the form y = kx, and identify k or p as requested. Answer with the…

A: Given function y = k.xpy = 1πx

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Q: The region between the curve y = √x, 0 ≤ x ≤ 4, and the x-axis is revolved about the x-axis to…

A: Given y = x0 ≤ x ≤ 4 as we know that volume pf solid bounded by revolution of y = f( x ) V =…

Q: Find the derivative of the function. y' = y = 3 tan-¹(x - √₁+ 1 x² +

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Q: Would you use the dividing out technique or the rationalizing technique to find the limit of the…

A: see below the aanswer and explanation

Q: 1 1 1 은 관 + dt

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Q: X Y 1 844 2 1259 3 1665 4 2314 5 3415 6 4517 Use regression to find an exponential equation that…

A: NOTE: Refresh your page if you can't see any equations. . X Y 1 844 2 1259 3 1665 4 2314…

Q: 6. f(x) 10. f(x) 12. j(x) f(x) 14. 16: Function 3. 7. 9. 11. f(x) 13. f(x) 15. f(x) 17: f(x) 15.…

A: Match the function with the graph of its derivatives.

Q: Find a Cartesian equation for the curve and identify it. cos(20) = 1 O limaçon Ohyperbola O circle O…

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Q: dh ars of growth and shaping. The growth rate during those 4 years is approximated by d gs are 14…

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Q: (d) Given the graph of f (x) below (blue), select the correct graph of the transformation y = f(x +…

A: To do transformation on given function f and determine its graph.

Q: Consider each function to be in the form y = kx, and identify k or p as requested. Answer with the…

A: Given function:- y=2x

Q: 1. (6413 #4 p. 351) The cross section of a large tank is a trapezoid. The short side of the…

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Q: Find the sum of the series 65+ 513 5/9 + LO 5 27 - 5 81 +

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Q: Use the summation formulas to rewrite the expression O O 4 8 71 72 6 8 6 S I I I + n 8 4 72 8 S…

A: 12+22+...+n2 = n(n+1)(2n+1)6. 1+2+...+n = n(n+1)2

Q: Solve: y (cosx)= (9+ y²)

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Q: b) (x + 2y - 3)dx + (2x + 4y - 9)dy = 0

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Q: Expand the following logarithmic expression and simplify: 06 + log (y) - log (x) + log (3) O+log (y)…

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Q: Differentiate the function. V'(t) = V(t) = t-3/5 + +t²

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Q: Solve the initial value problem dy € + ² = 5x√ỹ, _y(1) = 2.

A: standard form is dydx+p(x)y=q(x)given  dydx+yx=5xydivide by y  both sides 1ydydx+1x×yy=5xwe know…

Q: bounded by the following curves: y = x³/2, y = 8, x = 0, y = 0. Find the volume of the solid…

A: Given ,       y = x32 ,  y=8  ,  x= 0 , y=0.  From Shell method-     Since the revolution is around…

Q: The farmer knows that the area of the rectangular enclosure must be at least 400 square meters. This…

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Q: Q lan for the conic based Yon: Ellipse with major verti #) and a focus point at (9,4_ = sketch and…

A: SOLUTION: Given  that  an ellipse has major vertices at (-5,4),(11,4) And focus at (9,4) Now we have…

Q: In the figure, the regions A, B, C and D bounded by the x-axis and the graph of f have the following…

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Q: Which of the following statements are true by the comparison test? A. The integral 5 da diverges…

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